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Finding the Fourth Proportional to 359,729.54, 496,413.75 and 198,581.13

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Solution

The fourth proportional to 359,729.54, 496,413.75 and 198,581.13 is: 274,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,729.54 : 496,413.75 = 198,581.13 : x
  2. Step 2: Convert to fraction form
    359,729.54/496,413.75 = 198,581.13/x
  3. Step 3: Cross multiply
    359,729.54x = 496,413.75 × 198,581.13
  4. Step 4: Simplify right side
    359,729.54x = 98,578,404,167.22
  5. Step 5: Solve for x
    x = 98,578,404,167.22/359,729.54
  6. Step 6: Final answer
    x = 274,034.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.